A small solid sphere of mass M0, of radius R0, and of uniform density ρ0 is...

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Physics

A small solid sphere of mass M0, of radiusR0, and of uniform density ρ0 is placed in alarge bowl containing water. It floats and the level of the waterin the dish is L. Given the information below, determine thepossible effects on the water level L, (R-Rises, F-Falls,U-Unchanged), when that sphere is replaced by a new solid sphere ofuniform density.
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R F U R or U F or U R or F or U  The new sphere hasdensity ρ = ρ0 and radius R > R0
R F U R or U F or U R or F or U  The new sphere hasradius R = R0 and density ρ > ρ0
R F U R or U F or U R or F or U  The new sphere hasdensity ρ < ρ0 and mass M = M0
R F U R or U F or U R or F or U  The new sphere hasradius R > R0 and density ρ < ρ0
R F U R or U F or U R or F or U  The new sphere has massM = M0 and radius R < R0
R F U R or U F or U R or F or U  The new sphere has massM < M0 and density ρ = ρ0

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3.7 Ratings (357 Votes)
To determine the effect on the water level L we use archimedes principle the volume of the immersed object will be exactly equal to the volume of the displaced fluid i The new sphere has density 0 and radius R R0 as new radius is more so the volume is increased This will    See Answer
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